Smooth potentials with prescribed boundary behaviour

被引：0
|
作者：
Gardiner, SJ [1 ]
Gustafsson, A
机构：
[1] Univ Coll Dublin, Dept Math, Dublin 4, Ireland
[2] Hogskolan Kalmar, Inst Kemi & Biomed Vetenskap, S-39182 Kalmar, Sweden
来源：
PUBLICACIONS MATEMATIQUES | 2004年 / 48卷 / 01期
关键词：
potential; boundary behaviour; superharmonic extension;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper examines when it is possible to find a smooth potential on a C-1 domain D with prescribed normal derivatives at the boundary. It is shown that this is always possible when D is a Liapunov-Dini domain, and this restriction on D is essential. An application concerning C-1 superharmonic extension is given.
引用
收藏
页码：241 / 249
页数：9
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